Notes, summaries, assignments, exams, and problems

English Grammar Practice

This section presents a series of grammar exercises from the 2022-2023 academic year, focusing on sentence completion, voice transformation, and sentence restructuring.

Sentence Completion & Vocabulary

• "Would you mind lending John a hand at tomorrow's meeting?"
• "Please, stay in your seats until the bell rings."
• "Shall we take the poster off the wall? It's outdated."
• "Emily invited some friends to her birthday dinner but everyone declined."

Active Voice Transformation

Original: "Who is Peter being tutored by in his Study Abroad Programme?"

Transformed: "Who is tutoring Peter in his Study Abroad Programme?"

Passive Voice Transformation

Original: "They are going to pay Lisa's debts as soon as the money gets through."

Transformed:

Insertion Sort Algorithm

def insertion_sort(arr) :

for i in range(1, len(arr)):

key = arr[i]

j = i - 1

while j >= 0 and key < arr[j]:

arr[j + 1] = arr[j]

j -= 1

arr[j + 1] = key

# Example usage:

arr = [12, 11, 13, 5, 6]

insertion_sort(arr)

print("Sorted array is:", arr)

Binary Search Algorithm

def binary_search(arr, target):

left, right = 0, len(arr) - 1

while left <= right:

mid = (left + right) // 2

if arr[mid] == target:

return mid

elif arr[mid] < target:

left = mid + 1

else:

right = mid - 1

return -1

# Example usage:

arr = [2, 3, 4, 10, 40]

target = 10

result = binary_search(arr, target)

if result != -1:

print("Element

Hypothesis Testing

Statistical Test Selection

1. If the population standard deviation is unknown and the sample size is less than 30: t-test

2. If the population standard deviation is known and the sample size is less than 30: t-test

7. Hypothesis test on population mean; n = 25; σ = 2.5: z-test

8. Hypothesis test on population mean; n = 50; s = 7.2: z-test

18. Test statistic for sample size above 30: z-test

19. Test statistic when population standard deviation is known: z-test

20. Test statistic when population standard deviation is unknown: t-test

21. When to use the t-test: I and II

24. Optimal sample size for z-test: Equal to or larger than 30

Hypotheses and Significance

3. H₀: μ = 30

4. H₁: μ > 30

5. No

9. False: The alternative hypothesis typically... Continue reading "Hypothesis Testing: A Concise Statistical Method Reference" »

Microtubules: Structure & Cellular Functions

Microtubules are dynamic polymers of tubulin proteins that form a crucial part of the eukaryotic cell's cytoskeleton, providing essential structure and shape. They are formed by the polymerization of a dimer of two globular proteins—alpha and beta tubulin—into protofilaments, which then associate laterally to form the hollow microtubule structure.

The microtubule cytoskeleton is extensively involved in the transport of materials within cells, a process carried out by motor proteins that move along the microtubule surface. They also constitute the internal structure of cilia and flagella, enabling cellular motility. Furthermore, microtubules provide platforms for intracellular transport and... Continue reading "Essential Cell Organelles & Structures Explained" »

English Language Practice: Advanced Skills Review

1. Essential Collocations and Phrases

• a. They are engaged.
• b. Don't ignore.
• c. I envy you.
• d. A very nice discount.
• e. Could I borrow?
• f. They got divorced.
• g. My favorite shopping spree.
• h. If you can lend, pay back.
• i. In my budget.
• j. We have grown apart.

2. Mastering Prepositions

• Don't stare at.
• Are going to be on.
• Always depend on.
• Complaining about.
• We have run out of.

3. Gerunds and Infinitives in Use

• Keen on going.
• Have decided to buy.
• We can afford to eat.
• Smoking is a bad habit.
• We stopped to say.

4. Business and Money Idioms

• Been on another shopping spree.
• They will go out of business.
• Only just make ends meet.
• I'm going to be worth it.
• I'm not sure it will foot the bill.
• Is going to shop around.
• If you live beyond

Reported Speech

Statements

1. She said (that) he worked in a bank.
2. She told me (that) they went out last night.
3. She said (that) she was coming.
4. She told me (that) she had been waiting for the bus when he arrived.
5. She said (that) she had never been there before.
6. She told me (that) she didn't go to the party.
7. She said (that) Lucy would come later.
8. She told me (that) he hadn't eaten breakfast.
9. She said (that) she could help me tomorrow.
10. She told me (that) I should go to bed early.
11. She told me (that) she didn't like chocolate.
12. She said (that) she wouldn't see me tomorrow.
13. She said (that) she was living in Paris for a few months.
14. She told me (that) she visited her parents at the weekend.
15. She said (that) she hadn't eaten sushi before.
16. She said (that) she hadn't travelled

Board Meeting Minutes

Date: May 20, 2024

Present:

• John Smith (Chairman)
• Sarah Johnson (CEO)
• Michael Lee (CFO)
• Emily Clark (COO)
• David Brown (Head of Logistics)

Absent:

None

1. Call to Order/Opening Remarks

The meeting commenced promptly at 9:00 AM, with John Smith, the Chairman, presiding. John Smith welcomed all attendees and expressed gratitude for their participation.

2. Approval of the Minutes from May 15, 2024

Motion: To approve the minutes of the previous meeting held on May 15, 2024, as circulated.

Motion By: Sarah Johnson

Seconded By: Michael Lee

Carried unanimously by all present members.

3. Additions to the Agenda

No additional items were proposed for inclusion in the agenda.

4. Approval of the Agenda

Motion: To approve the agenda as circulated.

Motion

Python Regular Expressions: Pattern Matching Power

Regular expressions (regex) are a powerful tool for pattern matching and text manipulation. They allow you to search for patterns within strings, extract specific information, and perform text transformations. Python provides the re module for working with regular expressions.

Basic Regular Expression Components

1. Literals: Characters that match themselves.
2. Metacharacters: Special characters with special meanings, such as . (matches any character) and * (matches zero or more occurrences).
3. Character Classes: [...] matches any single character within the brackets.
4. Anchors: ^ matches the start of a string, $ matches the end of a string.
5. Quantifiers: * matches zero or more occurrences, + matches one or

Sharing Favorite Past Events

Alexis: Alright, let’s get started with sharing about our favorite past events. I think it’s a great way to practice our English. I’ll begin. Last summer, I went to my cousin's wedding. It was absolutely beautiful. While the couple was exchanging their vows, the emotion in the air was palpable; some of the guests started crying.

Alexis: Definitely! After the ceremony, there was a reception under the stars. Everyone was dancing and celebrating. While the band played classic hits, the newlyweds had their first dance. It was like something out of a fairy tale. The whole event was not just about the couple but also about bringing two families together in joy.

Alexis: I agree, John. It’s those moments of connection... Continue reading "Cherished Memories: Sharing Favorite Past Events" »

Expanding Language Proficiency: Beyond the Classroom

Practical Application and Real-World Interactions

Formal English instruction is undoubtedly beneficial, but practical application and real-world interactions are key to true language acquisition. To start, students should capitalize on opportunities outside the classroom.

Connecting with English Speakers

Connecting with English speakers significantly enhances language skills. Participating in language exchange programs or conversation clubs provides exposure to different accents and colloquial expressions, while also fostering cultural understanding and interpersonal connections.

Utilizing Digital Resources

Digital resources offer accessible platforms for language practice, regardless of location.... Continue reading "Boosting English Fluency: Tips & Techniques" »